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b) The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system Dielectric - Figure Q6A. The cross sectional area of the plates is 4x 10* m and the distance between the plates is 0,2 mm. The dielectric has a relative permittivity of 2.5. ) Calculate the capacitance. Find the capacitive reactance if the applied AC trequency is 5 kHz.

b) The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system Dielectric - Figure Q6A. The cross sectional area of the plates is 4x 10* m and the distance between the plates is 0,2 mm. The dielectric has a relative permittivity of 2.5. ) Calculate the capacitance. Find the capacitive reactance if the applied AC trequency is 5 kHz.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question 6 a) Describe, with the aid of suitable diagrams, three methods of using a parallel plate capacitor as a primary sensing element. The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system b) Dielectric Figure Q6A. The cross sectional area of the plates is 4 x 10* m and the distance between the plates is 0.2 mm. The dielectric has a relative permittivity of 2.5. Calculate the capacitance. ii) Find the capacitive reactance if the applied AC frequency is 5 kHz. c) An applied vertical force couses the distance between the plates to reduce to 0.18 mm. Calculate the change in capacitance caused by the applied force. Briefly explain how the effect of changes in frequency could be negated if the sensor was connected to an AC bridge. d) (Question 6 continues overleaf) Page 9 of 14 (Question 6 continues below) The coaxial capacitor of Figure Q58 is used as the basis of a displacement sensor, with the displacement moving the central core to the left, hence reducing the shared length (L). e) Diplacement. Figure Q58. The capacitance is given by: In (b/a) The outer cylinder has a radius (b) of 18 mm and an 'overlapping length (L) of 20 mm. The radius of the inner cylinder (a) is 16 mm. Find f) The capacitance at zero displacement. The new value of capacitance if the displacement of the inner core is 2 mm to the left, as shown in Figure Q5B. 9) Capacitive sensors may be used as proximity sensors. Identify one advantage and one disadvantage of capacitive proximity sensors. i) Suggest an alternative type of proximity sensor.
Transcribed Image Text:Question 6 a) Describe, with the aid of suitable diagrams, three methods of using a parallel plate capacitor as a primary sensing element. The parallel plate capacitor of Figure Q6A is to be used as part of a sensing system b) Dielectric Figure Q6A. The cross sectional area of the plates is 4 x 10* m and the distance between the plates is 0.2 mm. The dielectric has a relative permittivity of 2.5. Calculate the capacitance. ii) Find the capacitive reactance if the applied AC frequency is 5 kHz. c) An applied vertical force couses the distance between the plates to reduce to 0.18 mm. Calculate the change in capacitance caused by the applied force. Briefly explain how the effect of changes in frequency could be negated if the sensor was connected to an AC bridge. d) (Question 6 continues overleaf) Page 9 of 14 (Question 6 continues below) The coaxial capacitor of Figure Q58 is used as the basis of a displacement sensor, with the displacement moving the central core to the left, hence reducing the shared length (L). e) Diplacement. Figure Q58. The capacitance is given by: In (b/a) The outer cylinder has a radius (b) of 18 mm and an 'overlapping length (L) of 20 mm. The radius of the inner cylinder (a) is 16 mm. Find f) The capacitance at zero displacement. The new value of capacitance if the displacement of the inner core is 2 mm to the left, as shown in Figure Q5B. 9) Capacitive sensors may be used as proximity sensors. Identify one advantage and one disadvantage of capacitive proximity sensors. i) Suggest an alternative type of proximity sensor.
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